Height & Distance

JKSSB Class-IV & MTS · Mathematics · 32 practice questions with answers and explanations: 10 Easy, 10 Medium, 12 Hard.

Sample questions

Sample Easy question 1

The angle of elevation of the top of a tower from a point 50 m away is 45°. Find the height of the tower.

  1. 40 m
  2. 45 m
  3. 50 m
  4. 55 m
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Answer: C. Height = 50 × tan 45° = 50 × 1 = 50 m.

Sample Medium question 2

From a point on the ground, the angle of elevation of a 20 m tower's top is 30°. Find the distance of the point from the base.

  1. 28.5 m
  2. 30 m
  3. 34.6 m
  4. 40 m
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Answer: C. Distance = height/tan 30° = 20 × √3 ≈ 34.6 m.

Sample Hard question 3

From the top of a 60 m tall lighthouse, the angles of depression of two boats on the same side are 45° and 30°. Find the distance between the boats (take √3 = 1.73).

  1. 41.8 m
  2. 43.8 m
  3. 45.8 m
  4. 47.8 m
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Answer: B. Nearer boat distance = 60/tan(45°) = 60 m. Farther boat distance = 60/tan(30°) = 60√3 = 103.8 m. Distance between boats = 103.8 - 60 = 43.8 m.

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